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Finding the Fourth Proportional to 98,850,821,466.40, 148,276,232,199.60 and 98,850,821,466.40

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Solution

The fourth proportional to 98,850,821,466.40, 148,276,232,199.60 and 98,850,821,466.40 is: 148,276,232,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,850,821,466.40 : 148,276,232,199.60 = 98,850,821,466.40 : x
  2. Step 2: Convert to fraction form
    98,850,821,466.40/148,276,232,199.60 = 98,850,821,466.40/x
  3. Step 3: Cross multiply
    98,850,821,466.40x = 148,276,232,199.60 × 98,850,821,466.40
  4. Step 4: Simplify right side
    98,850,821,466.40x = 14,657,227,356,873,131,294,720
  5. Step 5: Solve for x
    x = 14,657,227,356,873,131,294,720/98,850,821,466.40
  6. Step 6: Final answer
    x = 148,276,232,199.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.